DCG
2010
13 years 7 months ago
2010
Abstract The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima. To this end, we in...
DM
2011
13 years 7 months ago
2011
Minkowski’s second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowsk...
DCG
2006
14 years 14 days ago
2006
Let B be a Borel set in Ed with volume V (B) = . It is shown that almost all lattices L in Ed contain infinitely many pairwise disjoint d-tuples, that is sets of d linearly indepen...